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arxiv: 1503.03213 · v1 · pith:UYCIYWUYnew · submitted 2015-03-11 · 🧮 math.AP · math.OC

A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions

classification 🧮 math.AP math.OC
keywords boundaryconditionscahn-hilliardcontroldynamicequationoptimalitypotentials
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A boundary control problem for the pure Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved. Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions

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